Slope
Vertical Intercept
Interpreting Slope and Vertical Intercept
Solutions to Linear Equations
Slope Formula
100
slope = ______ change divided by ________ change
vertical/horizontal
100
What is the vertical intercept in this equation?
y = 3x + 8
8
100
Is the slope of this line positive or negative?
Positive
100
Is the point (0, 2) a solution to the linear equation
2x + 3y = 6?
Yes.
100
Use the slope formula to find the slope of the line that passes through: (10, 9) and (4, 3).
slope = 1
200
Which variable in the equation y=mx + b represents the slope of a line?
m
200
Which equations below have the same vertical intercept?
A) y = 2x + 4
B) y = 2x - 4
C) y = -3x + 4
D) y = 4x + 2
A and C
200
Is the slope of this line positive or negative?
Negative
200
Is the point (2, 3) a solution to the linear equation
2x + 3y = 6?
No.
200
Use the slope formula to find the slope of the line that passes through: (6, 3) and (5, -1).
slope = 4
300
What is the slope of this line?
3
300
What is the vertical intercept on this graph?
60
300
What does the slope mean in this situation?
The liters of water increased by 2 liters every minute.
300
For the equation y = 6x + 8, find the value of y when
x = -3.
y = -10
300
Use the slope formula to find the slope of the line that passes through: (5, -6) and (2, 3).
slope = -3
400
What is the slope of this line?
2
400
What is the vertical intercept in this situation?
10
400
What does the vertical intercept mean in this situation?
The amount of water started at 10 liters.
400
Is (1/2, 1/2) a solution to the linear equation:
y = -x + 1?
Yes.
400
Use the slope formula to find the slope of the line that passes through: (-8, -11) and (-1, -5).
slope = 6/7
500
A horizontal line always has a slope of ____.
ZERO
500
If you wanted to graph the equation y = -4x - 1, where would your graph start on the y axis?
At -1.
500
A cable company charges a one-time $100 service fee plus $70 per month for cable service.
Find a linear equation that represents the relationship between x, the number of months, and y, the total amount paid for service.
y = 100 + 70x or y = 70x + 100
500
For the equation y = 6x + 8, find the value of x when
y = 2.
x = -1
500
Use the slope formula to find the slope of the line that passes through: (4, 7) and (6, 2).
slope = -5/2